Assignment Volumes CSIS-1400 Learning Objectives: Practice method overloading Declare methods with multiple parameters Declare static methods and call them in the same class as well as from another class Call members of the Java API based on the information provided in the Java documentation Formulate algorithms Description: Create a project called AVolumes with two java files called Volumes.java and VolumesMenu.java Volumes.java: Implement the class as described in the UML class diagram below. Do not add, remove or modify members of the class All members in the Volumes class are underlined. This indicates that all of them are static. This works well because none of the methods relies on data from a specific instance. Notice that the type Double is capitalized. You see that in UML diagrams, which are language-independent diagrams. Use the primitive type double (Java) to implement Double from the UML class diagram. All methods return a value. No print statements should be used in class Volumes. Hint: all methods need to be declared with the keyword static and all methods need to be called on the type (ClassName + dot operator + methodName ) Ad cuboid: cuboid is an overloaded method. First implement the 3-parameter cuboid method Then implement the one-parameter method by calling the 3-parameter method Ad ellipsoid: volume = ellipsoid is an overloaded method. First implement the 3-parameter ellipsoid method Then implement the one-parameter method by calling the 3-parameter method Ad cylinder: volume = Ad cone: Caveat: The method cone receives the diameter and the side as parameters, however, the volume formula provided uses the radius and the height. volume = Here are some members of the Math class that can be helpful: static double PI The double value that is closer than any other to pi, the ratio of the circumference of a circle to its diameter. static double pow(double a, double b) Returns the value of the first argument raised to the power of the second argument. static double sqrt(double a) Returns the correctly rounded positive square root of a double value. static double hypot(double x, double y) Returns sqrt(x 2 +y 2 ) without intermediate overflow or underflow. More info about the Math class: http://download.oracle.com/javase/7/docs/api/java/lang/Math.html Output: 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 1 cuboid(2, 4, 6): volume = 48.0 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 2 cuboid(4): volume = 64.0 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 3 ellipsoid(2, 4, 6): volume = 201.1 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 4 ellipsoid (4): volume = 268.1 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 5 cylinder(3, 4): volume = 113.1 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 6 cone(6, 5): volume = 37.7 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 7 invalid input 1 .. cuboid(2, 4, 6) 2 .. cuboid(4) 3 .. ellipsoid(2, 4, 6) 4 .. ellipsoid(4) 5 .. cylinder(3, 4) 6 .. cone(6, 5) 0 .. exit Your choice: 0 good bye VolumesMenu.java: VolumesMenu has 2 methods: main and menuPrompt Ad menuPrompt: The method menu has no parameters and a return type void. It prints the 4 lines of the menu and the prompt Your choice: (see Output). Use the format specifier %-25s to print the strings of the left column left-aligned in a column of width 25 Ad main: Inside the main method create an instance of type Scanner. It is used to read in the user selection. Do not read in any user input. For this assignment we hard code the values that are passed to the methods of class Volumes. Declare a local variable of type int named selection Inside a do-while loop do the following: Call the method menuPrompt Read in the user choice and assign the result to the variable selection. In a switch statement check for the number the user had entered o If it was 1 call the 3 parameter method cuboid and display the result; hard-code 2, 4, and 6 as arguments o If it was 2 call the 1 parameter method cuboid and display the result; hard-code the value 4 as argument o If it was 3 call the 3 parameter method ellipsoid and display the result; hard-code 2, 4, and 6 as arguments o If it was 4 call the 1 parameter method ellipsoid and display the result; hard-code the value 4 as argument o If it was 5 call the method cylinder and display the result; hard-code 3 and 4 as arguments o If it was 6 call the method cone and display the result; hard-code 6 and 5 as arguments Make the output look like the output on the left column. Pay attention to details like commas, numbers of digits in fractional part, new-lines etc. Repeat the do-while loop until the user enters 0 to exit. Turning in: Zip up your project and name the file AVolumes . Turn it in via Canvas.